Finding the Fourth Proportional to 5,726.82, 7,843.77 and 5,390.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,726.82 : 7,843.77 = 5,390.58 : x
2. Step 2: Convert to fraction form
   5,726.82/7,843.77 = 5,390.58/x
3. Step 3: Cross multiply
   5,726.82x = 7,843.77 × 5,390.58
4. Step 4: Simplify right side
   5,726.82x = 42,282,469.69
5. Step 5: Solve for x
   x = 42,282,469.69/5,726.82
6. Step 6: Final answer
   x = 7,383.24